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Vinu Patel

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last 3 solved tasks
What 5-digit number satisfies the following requirements? 1. No zeroes; 2. First two digits are the same; 3. Fourth digit is twice the first; 4. Last digit is twice the third; 5. Sum of all digits is 18

Wright airplane control patent

In 1903, the Wright brothers filed a U.S. patent for their method of controlling a airplane in flight. After three years experimenting with gliders, they were now building their powered Wright Flyer, which made its historic flight at the end of the year, on 17 Dec 1903. The patent was not issued until 22 May 1906 (No. 821,393). Their claim was not the invention of a flying machine, but described the important new flight control technique of wing-warping. Significantly, the patent embraced any subsequent methods used to adjust the outer edges of the wings. Adjustments made independently on the edges of the left and right wings changing the angle of incidence to the air gave critical roll control. Ailerons devised by others were judged also covered by the patent. The Wrights agressively protected their patent rights.«

Math Teacher

The night before one exam, two students tied one on, (well, actually, tied two on, one each), and managed to sleep through the final. They realized they were in serious trouble, so they agreed to tell the professor that they had a flat tire on the way to the exam.
``No problem." said the Professor, ``Come by my office at 5 P.M. and I'll give you the exam then."
Feeling pretty clever, the students spent the intervening time getting information on the exam from students who had already taken it, and making sure they knew how to do the problems. Coming to the professor's office that evening, they were told, ``Leave your books in my office, and I'll put you in two separate rooms for the exam." They were both ecstatic to see that the Professor had given them the exact same exam taken by the class that morning. However, there was an additional page tacked on the end, upon which was written, "For 50% of the grade, which tire was flat?"    

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